87773312 has 128 divisors (see below), whose sum is σ = 213710400. Its totient is φ = 35389440.

The previous prime is 87773311. The next prime is 87773317. The reversal of 87773312 is 21337778.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (87773311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454688 + ... + 454880.

Almost surely, 2^87773312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106855200).

87773312 is an abundant number, since it is smaller than the sum of its proper divisors (125937088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87773312 is a wasteful number, since it uses less digits than its factorization.

87773312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 49392, while the sum is 38.

The square root of 87773312 is about 9368.7412174742. The cubic root of 87773312 is about 444.4137581776.

The spelling of 87773312 in words is "eighty-seven million, seven hundred seventy-three thousand, three hundred twelve".